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arXiv · 0807.0880

Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry

Miguel A. Bandres·Arthur E. Lipstein·John H. Schwarz
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Abstract

We examine the three-dimensional N = 6 superconformal Chern--Simons theory with U(N) X U(N) gauge symmetry, which was recently constructed by Aharony, Bergman, Jafferis, and Maldacena (ABJM). Using a formulation with manifest SU(4) R-symmetry and no auxiliary fields, we verify in complete detail both the Poincare supersymmetry and the conformal supersymmetry of the action. Together, these imply the complete OSp(6|4) superconformal symmetry of the theory. The potential, which is sixth order in scalar fields, is recast as a sum of squares.

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Miguel A. Bandres, Arthur E. Lipstein, John H. Schwarz. 2008-07-17. Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry. https://doi.org/10.1088/1126-6708%2F2008%2F09%2F027

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